banach空间中具有状态相关时滞的分数中立型积分微分系统的存在性和可控性

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2016-03-25 DOI:10.12941/JKSIAM.2016.20.051

S. Kailasavalli, S. Suganya, M. Arjunan

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引用次数: 4

摘要

考虑到半群的思想、分数阶微积分、解算算子和Banach收缩原理，本文给出了Banach空间中具有状态相关延迟的分数中立型积分微分系统的存在性和可控性(EaC)结果。最后，通过实例对理论结果进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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EXISTENCE AND CONTROLLABILITY OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL SYSTEMS WITH STATE-DEPENDENT DELAY IN BANACH SPACES

In view of ideas for semigroups, fractional calculus, resolvent operator and Banach contraction principle, this manuscript is generally included with existence and controllability (EaC) results for fractional neutral integro-differential systems (FNIDS) with statedependent delay (SDD) in Banach spaces. Finally, an examples are also provided to illustrate the theoretical results.

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来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

自引率

33.30%

发文量